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A study was carried out by the cancer registrar regarding the age at initial dia

ID: 69581 • Letter: A

Question

A study was carried out by the cancer registrar regarding the age at initial diagnosis of patients diagnosed with lung cancer. A total of 80 cases were recorded as follows: Ages: 85 83 82 81 80 80 78 76 75 75 74 74 73 73 72 72 72 71 71 70 70 70 70 69 68 68 67 67 67 67 66 66 66 66 66 65 65 65 64 64 63 63 63 62 62 61 61 61 60 60 59 59 59 58 58 57 57 57 56 56 55 55 53 53 52 51 49 49 48 47 46 45 45 44 42 40 39 38 35 29 Calculate: a. Range b. From an ungrouped (intervalsize1) distribution, calculate: (1) mean (2) median (3) mode (4) variance (5) standard deviation

Explanation / Answer

Calculation :

a) Population size:80
    Lowest value: 29
    Highest value: 85
     Range: 56

1) Mean = Sum/N

                4960/80 = 62

Mean = 62

2)Median: 63.5

Because the numeric value separating the higher half of a sample data set.

3) Mode= 66               

   because Mode is the value or values in the data set that occur most frequently.

4)Variance:139.725

  

Population size:80
Mean (): 62

Variance (2): 139.725

5) Population size:80
    Mean (): 62

   Standard deviation (): 11.820532982907

              

3) Mode= 66               

   because Mode is the value or values in the data set that occur most frequently.

4)Variance:139.725

  

Population size:80
Mean (): 62

Variance (2): 139.725

5) Population size:80
    Mean (): 62

   Standard deviation (): 11.820532982907